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The relation between kinematic space metric and entanglement entropy providesus with a differential equation for entanglement entropy. For BCFT on upperhalf plane we solve this equation to obtain an expression for entanglemententropy consistent with known results in the literature. We also discuss howthis relation can be used to recast the RG flow, under relevant deformations ofa CFT, as a flow in the space of kinematic space metrics.

Entanglement entropy and kinematic space in BCFT and RG flow